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Two-way deterministic finite automaton
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Two-way deterministic finite automaton : ウィキペディア英語版
Two-way deterministic finite automaton
In computer science, in particular in automata theory, an automaton is called two-way if it is allowed to re-read its input.
== Two-way deterministic finite automaton ==

A two-way deterministic finite automaton (2DFA) is an abstract machine, a generalized version of the deterministic finite automaton (DFA) which can revisit characters already processed. As in a DFA, there are a finite number of states with transitions between them based on the current character, but each transition is also labelled with a value indicating whether the machine will move its position in the input to the left, right, or stay at the same position. Equivalently, 2DFAs can be seen as read-only Turing machines with no work tape, only a read-only input tape.
2DFAs can be shown to have equivalent power to DFAs; that is, any formal language which can be recognized by a 2DFA can be recognized by a DFA which only examines and consumes each character in order. Since DFAs are obviously a special case of 2DFAs, this implies that both machines recognize precisely the set of regular languages. However, the equivalent DFA for a 2DFA may have exponentially more states, making 2DFAs a much more practical representation for algorithms for some common problems. They are also equivalent to read-only Turing machines that use only a constant amount of space on their work tape, since any constant amount of information can be incorporated into the finite control state via a product construction (a state for each combination of work tape state and control state).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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